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17 October, 22:12

Solve the problem.

3) At a track meet with 135 participants, 25 participate in jumping events, of these jumpers are female, and

of the total participants are female. What is the probability that a participant chosen at random is a jumper,

given that the person is a female?

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Answers (1)
  1. 17 October, 22:52
    0
    1/9 is the probability that a participant chosen at random is a jumper, given that the person is a female.

    Step-by-step explanation:

    In the question, some of the data are missing.

    So the correct question is "At a track meet with 135 participants, 25 participate in jumping events, 1/5 of these jumpers are female, and 1/3 of the total participants are female. What is the probability that a participant chosen at random is a jumper, given that the person is a female?"

    Given,

    The total number of participants in the track = 135 The total number of participants in jumping events = 25

    The number of females in the track = 1/3 of the total participants

    ⇒ 1/3 (135)

    ⇒ 45 female participants.

    The number of females in jumping event = 1/5 of the jumpers

    ⇒ 1/5 (25)

    ⇒ 5 female jumpers.

    To find the probability of a female jumper participant:

    P (a female jumper) = No. of female jumpers / Total female participants.

    ⇒ 5 / 45

    ⇒ 1 / 9.

    ∴ 1/9 is the probability that a participant chosen at random is a jumper, given that the person is a female.
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